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Finding the Third Proportional to 54,059 and 80,871

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Solution

The third proportional to 54,059 and 80,871 is: 120,981.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,059 : 80,871 = 80,871 : x
  2. Step 2: Convert to fraction form
    54,059/80,871 = 80,871/x
  3. Step 3: Cross multiply
    54,059x = 80,871 × 80,871
  4. Step 4: Simplify right side
    54,059x = 6,540,118,641
  5. Step 5: Solve for x
    x = 6,540,118,641/54,059
  6. Step 6: Final answer
    x = 120,981.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.